Dynamical Constraints in the Nonsymmetric Gravitational Theory
Abstract
Description
We impose in the nonsymmetric gravitational theory, by means of Lagrange multiplier fields in the action, a set of covariant constraints on the antisymmetric tensor field. The canonical Hamiltonian constraints in the weak field approximation for the antisymmetric sector yield a Hamiltonian energy bounded from below. An analysis of the Cauchy evolution, in terms of an expansion of the antisymmetric sector about a symmetric Einstein background, shows that arbitrarily small antisymmetric Cauchy data can lead to smooth evolution.
10 pages LaTex. Minor revisions. Results remain the same
10 pages LaTex. Minor revisions. Results remain the same